Show this irrational number on the number line :- √3/2. Ket me notify the spammers if don't want to get reported then stay away from my question and do not dare to intervene the sincere answerers.
Answers
Step-by-step explanation:
Draw a number line and take a point Q at 2 such that l(OQ) = 2 units. Draw a line QR perpendicular to the number line through the point Q such that l(QR) = 1 unit. Draw seg OR. ∆OQR formed is a right angled triangle. By Pythagoras theorem, [l(OR)]2 = [l(OQ)]2 + [l(QR)]2 = 22 + 12 = 4 + 1 = 5 ∴ l(OR) = √5 units … [Taking square root of both sides] Draw an arc with centre O and radius OR. Mark the point of intersection of the number line and arc as C. The point C shows the number √5. Similarly, draw a line CD perpendicular to the number line through the point C such that l(CD) = 1 unit. By Pythagoras theorem, l(OD) = √6 units The point E shows the number √6. Similarly, draw a line EP perpendicular to the number line through the point E such that l(EP) = 1 unit. By Pythagoras theorem, l(OP) = √7 units The point F shows the number √7.Read more on Sarthaks.com - https://www.sarthaks.com/853363/show-the-number-7-on-the-number-line